Properties

Genus \(2\)
Quotient genus \(0\)
Group \(\GL(2,3)\)
Signature \([ 0; 2, 3, 8 ]\)

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Family Information

Genus: 2
Dimension of the family: 0

Cover

Quotient genus: 0
Number of branch points: 3
Signature: $[ 0; 2, 3, 8 ]$

Group

Name: $\GL(2,3)$
Identifier:[48,29]

Conjugacy class(es) of Refined passports

Refined passport label Conjugacy classes
2.48-29.0.2-3-8.1 3, 4, 7
2.48-29.0.2-3-8.2 3, 4, 8

Displaying the representative for the unique action up to topological equivalence.

2.48-29.0.2-3-8.2.1
  (1,25) (2,26) (3,29) (4,30) (5,27) (6,28) (7,32) (8,31) (9,41) (10,42) (11,45) (12,46) (13,43) (14,44) (15,48) (16,47) (17,33) (18,34) (19,37) (20,38) (21,35) (22,36) (23,40) (24,39)
  (1,16,19) (2,15,20) (3,9,24) (4,10,23) (5,13,21) (6,14,22) (7,12,18) (8,11,17) (25,40,43) (26,39,44) (27,33,48) (28,34,47) (29,37,45) (30,38,46) (31,36,42) (32,35,41)
  (1,37,3,39,2,38,4,40) (5,35,7,34,6,36,8,33) (9,29,11,31,10,30,12,32) (13,27,15,26,14,28,16,25) (17,45,19,47,18,46,20,48) (21,43,23,42,22,44,24,41)